Finding the Third Proportional to 1,309.13 and 1,866.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.13 : 1,866.69 = 1,866.69 : x
2. Step 2: Convert to fraction form
   1,309.13/1,866.69 = 1,866.69/x
3. Step 3: Cross multiply
   1,309.13x = 1,866.69 × 1,866.69
4. Step 4: Simplify right side
   1,309.13x = 3,484,522.22
5. Step 5: Solve for x
   x = 3,484,522.22/1,309.13
6. Step 6: Final answer
   x = 2,661.72